Final answer:
Based on the past record of 23 accurate forecasts out of 31 days, the relative frequency probability of an accurate forecast for tomorrow is approximately 74.19%.
Step-by-step explanation:
The question deals with finding the relative frequency probability based on past occurrences. To solve the mathematical problem completely, we look at the historical data provided: the local weather forecast has been accurate for 23 out of the past 31 days. Using the relative frequency approach to probability, we can estimate the likelihood of an event happening in the future based on how often it has happened in the past.
To calculate this, we use the formula for relative frequency probability:
Probability (P) = Number of favorable outcomes / Total number of trials
So the probability that the forecast for tomorrow will be accurate is:
P = 23/31
When calculated, P equals approximately 0.7419, or 74.19%. This implies that, based on past performances, there is a 74.19% chance that tomorrow's weather forecast will be accurate.